Rose use 1 1/2 cups of flour for every 1/3 cup of cocoa to make brownies. Enter the number of cups of flour Rose uses for 1 cup
1 answer:
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Answer:
Correct choice is B
Step-by-step explanation:
All three functions are increasing when x is increasing. You can find values of each function when x is "enough large". For example, at x=100,
1. linear function:
2. exponential function:
3. quadratic function:
As you can see, when x approaches positive infinity, the exponential function will exceed both the linear and the quadratic functions.
Also you can use graphical method to get from the attached diagrams result. When x approaches positive infinity, the exponential function will exceed both the linear and the quadratic functions.
Correct choice is B.
Answer:
only one number c=0 in the interval [-1,1]
Step-by-step explanation:
Given : Function in the interval [-1,1]
To find : How many numbers in the interval [−1, 1] satisfy the conclusion of the mean value theorem.
Mean value theorem : If f is a continuous function on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point 'c' in (a,b) such that
Solution : f(x) is a function that satisfies all of the following :
1) f(x) is continuous on the closed interval [-1,1]
2) f(x) is differentiable on the open interval (-1,1)
Then there is a number c such that
........[1]
Now, we find f'(x)
Differentiating w.r.t x
In place of x we put x=c
(by [1], f'(c)=0)
either c=0 or
we cannot take because they don't lie in the interval [-1,1]
Therefore, there is only one number c=0 which lie in interval [-1,1] and satisfying the conclusion of the mean value theorem.